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Finding the Fourth Proportional to 29.05, 43.31 and 28.34

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Solution

The fourth proportional to 29.05, 43.31 and 28.34 is: 42.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.05 : 43.31 = 28.34 : x
  2. Step 2: Convert to fraction form
    29.05/43.31 = 28.34/x
  3. Step 3: Cross multiply
    29.05x = 43.31 × 28.34
  4. Step 4: Simplify right side
    29.05x = 1,227.41
  5. Step 5: Solve for x
    x = 1,227.41/29.05
  6. Step 6: Final answer
    x = 42.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.